Mathematics 

314607 Algebra/Geometry, Course I

Grade: 9

Placement Criteria: < 400 on the grade 8 SOL

This is the first course of the three year academic sequence that combines the content from Algebra I and Geometry. This course is designed for students who benefit from extra time in mathematics for learning and understanding. At the end of this course students will NOT be tested on the Algebra I Standards of Learning. Students are recommended for this course based upon multiple criteria including grade level standardized assessments and teacher recommendation.

The course focuses on number sense, problem solving, mathematical connections, and representations. Multiple strategies, manipulative materials, and technology will be utilized to support student learning. This course emphasizes the basic structure of the real number system, the techniques of algebra, and the application of algebraic concepts and skills.

314707 Algebra/Geometry, Course II

Grades: 10-11

Placement Criteria: Successful completion of Algebra/Geometry, Course I

This course is the second course of the three year academic sequence that combines the content from Algebra I and Geometry. In this course, students review and continue to develop problem solving skills while focusing on algebra and how it can be applied through geometric models. Students will take the Algebra 1 SOL at the end of this course. 

314807 Algebra/Geometry, Course III

Grades: 11-12

Placement Criteria: Successful completion of Algebra/Geometry, Course II

This course is the third course of the three year academic sequence that combines the content from Algebra I and Geometry. The course is designed to give an understanding of both geometric figures and mathematical reasoning. Emphasis is placed on two- and three-dimensional figures, reasoning skills, coordinate and transformational geometry, and the use of geometric models. Where appropriate, inductive reasoning, and discovery approaches will be used. All Virginia Standards of Learning Objectives are met or exceeded in this curriculum. If needed for individual graduation requirements, students will take the Geometry SOL at the end of this course. 

313007 ALGEBRA I

Grades: 9-10

Prerequisite: Math 8 or its equivalent with a grade of C or better, and passing score on the 8th grade math SOL test

This course is the standard algebra course in the college- bound academic sequence. It is a challenging course with emphasis on abstract algebraic concepts as well as the connections between algebra and arithmetic, geometry, and statistics. Tables and graphs will be used to interpret algebraic expressions, equations, and inequalities and to analyze functions. These algebraic skills and concepts are used as tools to represent and solve practical real-life problems. Technology, including computers and graphing calculators, will be used to assist in problem solving. At the end of this course, students take the Algebra I SOL test.

313007 ALGEBRA I , HONORS

Grade: 9

Prerequisite: Math 8  or its equivalent with a grade of B or better, and passing score on the 8th grade math SOL test

The Honors Algebra I course is designed for students who desire a more rigorous course at an accelerated pace and for students who are comfortable analyzing and manipulating mathematics both with and without access to a calculator. This challenging course includes topics in the Algebra I course description and provides more inquiry based learning opportunities and an introduction to some Algebra II concepts. This course is appropriate for students who have strong abstract reasoning skills and a firm understanding of algebraic concepts and who consistently complete all assigned work and go above and beyond to deepen their understanding of mathematical concepts. At the end of this year, students take the Algebra I SOL test.

314307 GEOMETRY

Grades: 9-12

Prerequisite: Algebra I with a grade of C or better, or teacher recommendation

This course is the standard high school geometry course in the academic sequence required for college bound students. The course includes an emphasis on developing reasoning skills through the exploration of geometric relationships including properties of geometric figures, trigonometric relationships and mathematical proofs. Students will also develop skills in two- and three-dimensional reasoning, coordinate and transformational geometry, and the use of geometric models to solve problems. If needed for individual graduation requirements, students will take the Geometry SOL at the end of this course.

314309 GEOMETRY HONORS

Grades: 9-10

Prerequisite: Algebra I Honors with a grade of B or better, or teacher recommendation

This is a challenging course that emphasizes deductive reasoning in order to solve problems and justify conclusions. . Topics studied include transformations, congruence, similarity, measurement of two-dimensional and three-dimensional figures, coordinate geometry, and an introduction to trigonometry. Connections and extensions are made to algebra throughout the year. Students will be expected to recall and apply algebraic topics and integrate previously learned skills with new concepts. This is an inquiry-based course where students will be expected to collaborate often with their peers on investigations and difficult mathematical problems. Technology, including computers and graphing calculators, provides an important component of this course. If needed for individual graduation requirements, students will take the Geometry SOL at the end of this course.

313407 ALGEBRA, FUNCTIONS, AND DATA ANALYSIS (AFDA)

Grades: 11-12

Prerequisite: Successful completion of Algebra I

This course is designed as a bridge between Algebra I and Algebra II, for students who have successfully completed Algebra/Geometry Courses I and II or for students who have passed Algebra I and Geometry but may not yet be ready for Algebra II. Students will study various types of functions and their behaviors, probability and statistics, and data analysis using practical applications arising from science, business, and finance. The course will be project-based, utilizing the graphing calculator and computer software to enable students to strengthen conceptual understandings in mathematics and develop connections between algebra and statistics. Successful completion of this course should prepare the student to take Algebra II. Students who have not previously passed the Algebra I SOL will sit for the exam at the end of the course, if it is required for graduation.

313507 ALGEBRA II

Grades: 9-12

Prerequisite: Algebra I, Geometry and a grade of C or better in both courses, or teacher recommendation

This course is an extension of the Algebra I and Geometry curriculum. Topics from these courses will be built upon and applied to problems that require higher-order thinking skills. Additional topics thoroughly studied in this course include quadratics, functions, polynomials, rational expressions, complex numbers, and sequences and series. Along with many colleges, a majority of careers require successful completion of an Algebra II course. Students who successfully complete Algebra II will be prepared for IB Mathematics Applications and Interpretations SL I. Students who wish to move on to IB Mathematics Analysis and Approaches I can do so by successfully completing online preparatory modules during the summer prior to enrolling in that course.

313459 ALGEBRA II/TRIGONOMETRY HONORS

Grades: 9-11

Prerequisite: Algebra I Honors and Geometry Honors with a grade of B or better in both courses, or teacher recommendation.

This course is designed for students who desire a more rigorous course at an accelerated pace and for students who are comfortable analyzing and manipulating mathematics both with and without access to a calculator. Topics include all those in the Algebra II course description as well as a thorough study of applications, graphing, inequalities, trigonometric functions, and solving trigonometric equations. Students who successfully complete this course will be prepared for IB Mathematics Analysis and Approaches I. 

291107 DATA SCIENCE

Grades: 11-12

Prerequisite: Successful completion of AFDA or Algebra II

Through the use of open source technology tools, students will identify and explore problems that involve the use of relational database concepts and data-intensive computing to find solutions and make generalizations. Students will engage in a data science problem-solving structure to interact with large data sets as a means to formulate problems, collect and clean data, visualize data, model using data, and communicate effectively about data formulated solutions. 

319007 PROBABILITY AND STATISTICS

Grades: 11-12

Prerequisite: Successful completion of AFDA or Algebra II

This course is designed for students who have successfully completed AFDA and/or Algebra II but possibly struggled with the abstract concepts in Algebra II and/or are interested in more of an applied mathematics course with an emphasis on probability and statistics. In this course, students will research, collect and analyze data; develop and support ideas and conjectures; investigate, evaluate, and incorporate appropriate resources; and determine appropriate problem-solving approaches and decision-making algorithms in a variety of real-world contexts and applied settings. The course will add to students’ preparation for postsecondary education and the workforce by (1) enhancing skills in number and quantity, functions and algebra, geometry, and statistics and probability; (2) simultaneously reinforcing readiness skills and dispositions in adaptability and flexibility, creativity and innovation, leadership, team work, collaboration, and work ethic.

319156 IB MATHEMATICS: APPLICATIONS AND INTERPRETATIONS SL I

Grades: 11-12

Prerequisite: Algebra II with a grade of C or better, or teacher recommendation

This is the first part of a two-year IB mathematics standard level course that is meant for students who enjoy seeing mathematics used in real-world, data-rich contexts. The course emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. This course will cover topics such as sequences and series, functions (polynomial, exponential, logarithmic, and sinusoidal), and geometric trigonometry, in both degrees and radians. The course makes extensive use of technology (calculator) to allow students to explore and develop mathematical thinking in the context of practical problem solving, and to justify conjectures. At the end of the second year, students will take the IB exam for this course. 

319157 IB MATHEMATICS: APPLICATIONS AND INTERPRETATIONS SL II

Grades: 11-12

Prerequisite: IB Mathematics Applications & Interpretations SL I with a grade of C or better, or teacher recommendation

This is the second part of a two-year IB mathematics standard level course that is meant for students who enjoy seeing mathematics used in real-world, data-rich contexts. The course continues to emphasize the meaning of mathematics in context by focusing on pre-university topics such as statistics and calculus. Students will be required to complete an internal assessment project, based on individual mathematical exploration, as a requirement for the course. The course makes extensive use of technology to allow students to explore and develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures. At the end of this year, students will take the IB Mathematics: Applications & Interpretations SL exam.

319855 IB MATHEMATICS: ANALYSIS AND APPROACHES SL & HL I

Grades: 10 -12

Prerequisite: Algebra II/Trig Honors with a grade of B or better, or teacher recommendation

This is the first part of a two-year IB mathematics course that focuses on analytical expertise and a deep understanding of mathematical concepts. Students should be comfortable in the manipulation of algebraic expressions, enjoy the recognition of patterns, and understand the mathematical generalization of these patterns. It is designed to cover topics such as logarithms and exponentials, functions, trigonometry, analytical geometry, basic probability, and introductory calculus. Technology will be used throughout the course, but this course has a strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments without access to a calculator. Students completing this course will be prepared for IB Mathematics: Analysis and Approaches SL II, AP Calculus BC, or IB Mathematics Analysis and Approaches HL II.

317854 IB MATHEMATICS: ANALYSIS AND APPROACHES SL II

Grades: 11-12

Prerequisite: IB Mathematics Analysis & Approaches I with a grade of C or better, or teacher recommendation

This is the second part of a two-year IB mathematics standard level course that focuses on analytical expertise and a deep understanding of mathematical concepts. This course is intended for students to investigate mathematical arguments, problem solving and with both real and abstract application. This course covers probability distributions, statistics, limits, and differential and integral calculus. Students will be required to complete an internal assessment project, based on individual mathematical exploration, as a requirement for the course. Technology will be used throughout the course, but this course has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. At the end of the year, students will take the IB Mathematics: Analysis & Approaches SL exam. Juniors completing this course will be prepared for AP Calculus BC. 

317756 AP CALCULUS BC / IB MATHEMATICS ANALYSIS AND APPROACHES EXTENSION

Grades:  11-12

Prerequisite: IB Mathematics Analysis & Approaches I with a grade of B or better, or teacher recommendation

This is a fast paced and rigorous mathematics course meant for students who have strong algebra skills, the ability to understand and apply simple proof, and enjoy spending time with challenging problems. The course has an emphasis on limits, differential calculus and integral calculus as well as infinite sequences and series, and calculus applied to parametric functions, polar functions, and applications of vectors. The use of theorems and proofs is an integral part of the explanation and assessment component of this course. At the end of the year, students will take the AP Calculus BC Exam. This course is an extension of IB Mathematics Analysis and Approaches because it goes beyond the syllabus in Topic 5 (calculus) for both the standard and higher level courses. Juniors enrolled in the course will move on to IB Mathematics Analysis & Approaches HL II.

319756 IB MATHEMATICS ANALYSIS AND APPROACHES HL II

Grade:  12

Prerequisite: IB Mathematics Analysis & Approaches I with a grade of B or better, or teacher recommendation

IB Mathematics Analysis and Approaches HL II is a rigorous course in mathematics that includes selected topics in calculus, vectors, trigonometry, linear algebra, probability, statistics, and other topics that go beyond the syllabus of the standard level IB mathematics analysis and approaches course. Students will take the IB higher-level examination at the end of this year. As part of the IB internal assessment for this course, students will complete the final draft of their internal assessment. This course is typically taken after AP Calculus BC, though not required.